Home / 406.16-609.40-178

Finding the Fourth Proportional to 406.16, 609.40 and 178

Calculator

Solution

The fourth proportional to 406.16, 609.40 and 178 is: 267.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.16 : 609.40 = 178 : x
  2. Step 2: Convert to fraction form
    406.16/609.40 = 178/x
  3. Step 3: Cross multiply
    406.16x = 609.40 × 178
  4. Step 4: Simplify right side
    406.16x = 108,473.20
  5. Step 5: Solve for x
    x = 108,473.20/406.16
  6. Step 6: Final answer
    x = 267.07

Related Problems

Find fourth proportional to 203.08, 304.70 and 89
Half scale
Find fourth proportional to 812.32, 1,218.80 and 356
Double scale
Find fourth proportional to 407.16, 610.90 and 179
Similar ratio
Find fourth proportional to 609.24, 914.10 and 267
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.